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Finding the Third Proportional to 157,243 and 345,376

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Solution

The third proportional to 157,243 and 345,376 is: 758,600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,243 : 345,376 = 345,376 : x
  2. Step 2: Convert to fraction form
    157,243/345,376 = 345,376/x
  3. Step 3: Cross multiply
    157,243x = 345,376 × 345,376
  4. Step 4: Simplify right side
    157,243x = 119,284,581,376
  5. Step 5: Solve for x
    x = 119,284,581,376/157,243
  6. Step 6: Final answer
    x = 758,600.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.